Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 13, Tome 226 (1996), pp. 65-68
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E. P. Golubeva. On nonhomogeneous Waring equations. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 13, Tome 226 (1996), pp. 65-68. http://geodesic.mathdoc.fr/item/ZNSL_1996_226_a5/
@article{ZNSL_1996_226_a5,
author = {E. P. Golubeva},
title = {On nonhomogeneous {Waring} equations},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {65--68},
year = {1996},
volume = {226},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1996_226_a5/}
}
TY - JOUR
AU - E. P. Golubeva
TI - On nonhomogeneous Waring equations
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1996
SP - 65
EP - 68
VL - 226
UR - http://geodesic.mathdoc.fr/item/ZNSL_1996_226_a5/
LA - ru
ID - ZNSL_1996_226_a5
ER -
%0 Journal Article
%A E. P. Golubeva
%T On nonhomogeneous Waring equations
%J Zapiski Nauchnykh Seminarov POMI
%D 1996
%P 65-68
%V 226
%U http://geodesic.mathdoc.fr/item/ZNSL_1996_226_a5/
%G ru
%F ZNSL_1996_226_a5
It is proved that for an arbitrary positive integer $k$ the equation $$ n=x^2+y^2+z^3+u^3+v^4+w^{14}+t^{4k+1} $$ has a positive integer solution for all sufficiently large $n$. Bibl. 6 titles.